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Label Polynomial Discriminant Galois group Class group Regulator
24.4.491...064.1 $x^{24} - 5 x^{23} + x^{22} + 40 x^{21} - 89 x^{20} + 10 x^{19} + 240 x^{18} - 427 x^{17} + 266 x^{16} + 215 x^{15} - 599 x^{14} + 533 x^{13} - 153 x^{12} - 191 x^{11} + 195 x^{10} + 9 x^{9} + 160 x^{8} - 37 x^{7} - 186 x^{6} - 202 x^{5} - 123 x^{4} - 10 x^{3} + x^{2} + 5 x - 1$ $2^{16}\cdot 487^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $1432261.5638336123$
24.4.491...064.2 $x^{24} - 4 x^{23} + 7 x^{22} - 10 x^{21} + 23 x^{20} - 32 x^{19} - 21 x^{18} + 156 x^{17} - 359 x^{16} + 654 x^{15} - 876 x^{14} + 646 x^{13} + 61 x^{12} - 1012 x^{11} + 2338 x^{10} - 3178 x^{9} + 2897 x^{8} - 2474 x^{7} + 1335 x^{6} - 52 x^{5} - 44 x^{4} + 454 x^{3} - 524 x^{2} + 62 x - 197$ $2^{16}\cdot 487^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $1432261.5638336123$
24.4.940...625.1 $x^{24} - 10 x^{23} + 48 x^{22} - 158 x^{21} + 381 x^{20} - 714 x^{19} + 1213 x^{18} - 1907 x^{17} + 2614 x^{16} - 3516 x^{15} + 4694 x^{14} - 5466 x^{13} + 6009 x^{12} - 6785 x^{11} + 7506 x^{10} - 8491 x^{9} + 9365 x^{8} - 8498 x^{7} + 5899 x^{6} - 3118 x^{5} + 1203 x^{4} - 296 x^{3} + 36 x^{2} - 7 x + 1$ $5^{16}\cdot 151^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $8548806.54922059$
24.4.940...625.2 $x^{24} - 2 x^{23} + 6 x^{22} - 5 x^{21} + 11 x^{20} - 17 x^{19} + 2 x^{18} - 34 x^{17} - 139 x^{16} - 108 x^{15} - 455 x^{14} - 497 x^{13} - 1230 x^{12} - 1691 x^{11} - 2719 x^{10} - 4214 x^{9} - 4936 x^{8} - 6130 x^{7} - 5653 x^{6} - 4317 x^{5} - 2323 x^{4} - 45 x^{3} - 323 x^{2} + 428 x + 173$ $5^{16}\cdot 151^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $8548806.54922059$
24.4.153...449.1 $x^{24} - 2 x^{23} - 8 x^{22} - 2 x^{21} + 70 x^{20} - 33 x^{19} - 156 x^{18} + 43 x^{17} + 433 x^{16} - 998 x^{15} + 433 x^{14} + 1850 x^{13} - 1996 x^{12} - 1334 x^{11} + 1462 x^{10} + 5 x^{9} - 1195 x^{8} - 1071 x^{7} - 747 x^{6} - 160 x^{5} + 26 x^{4} - 66 x^{3} - 57 x^{2} - 14 x - 1$ $2083^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $10781013.84232622$
24.4.153...449.2 $x^{24} + 5 x^{22} - 9 x^{21} - 17 x^{20} - 76 x^{19} - 136 x^{18} - 174 x^{17} - 166 x^{16} + 28 x^{15} + 141 x^{14} + 361 x^{13} + 448 x^{12} + 1384 x^{11} + 3389 x^{10} + 8270 x^{9} + 11234 x^{8} + 16185 x^{7} + 17718 x^{6} + 15868 x^{5} + 15966 x^{4} + 10226 x^{3} + 4276 x^{2} + 3258 x + 1459$ $2083^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $10781013.84232622$
24.4.374...536.1 $x^{24} - 4 x^{23} + 18 x^{22} - 59 x^{21} + 167 x^{20} - 420 x^{19} + 919 x^{18} - 1828 x^{17} + 3235 x^{16} - 4879 x^{15} + 6403 x^{14} - 6415 x^{13} + 2571 x^{12} + 6076 x^{11} - 21326 x^{10} + 40942 x^{9} - 60476 x^{8} + 73984 x^{7} - 73764 x^{6} + 61224 x^{5} - 43696 x^{4} + 17928 x^{3} - 3216 x^{2} + 720 x + 16$ $2^{16}\cdot 751^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $12097538.188247636$
24.4.374...536.2 $x^{24} - 3 x^{23} + x^{22} + 10 x^{21} - 43 x^{20} + 48 x^{19} + 120 x^{18} - 317 x^{17} + 184 x^{16} + 607 x^{15} - 1095 x^{14} - 247 x^{13} + 1345 x^{12} - 781 x^{11} + 2081 x^{10} + 2799 x^{9} - 6866 x^{8} - 6853 x^{7} + 2370 x^{6} + 3678 x^{5} + 629 x^{4} - 178 x^{3} - 33 x^{2} - x + 1$ $2^{16}\cdot 751^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $12097538.188247636$
24.4.765...384.1 $x^{24} - 6 x^{23} + 9 x^{22} + 14 x^{21} - 42 x^{20} + 30 x^{19} - 252 x^{18} + 1092 x^{17} - 1758 x^{16} + 564 x^{15} + 3066 x^{14} - 8784 x^{13} + 15708 x^{12} - 20460 x^{11} + 17904 x^{10} - 7740 x^{9} - 3195 x^{8} + 7842 x^{7} - 5979 x^{6} + 2034 x^{5} + 342 x^{4} - 770 x^{3} + 420 x^{2} - 120 x + 16$ $2^{16}\cdot 3^{26}\cdot 11^{16}$ $\SL(2,5):C_2$ (as 24T576) trivial $494355842.3116425$
24.4.765...384.2 $x^{24} - 3 x^{23} + 6 x^{22} - 19 x^{21} + 39 x^{20} - 30 x^{19} - 9 x^{18} - 45 x^{17} + 93 x^{16} + 204 x^{15} - 201 x^{14} - 129 x^{13} - 793 x^{12} + 738 x^{11} + 141 x^{10} + 1177 x^{9} - 666 x^{8} - 597 x^{7} - 913 x^{6} + 168 x^{5} + 474 x^{4} + 464 x^{3} + 168 x^{2} + 24 x - 4$ $2^{16}\cdot 3^{26}\cdot 11^{16}$ $\SL(2,5):C_2$ (as 24T576) trivial $494355842.3116425$
24.4.197...064.1 $x^{24} - 2 x^{23} - 8 x^{22} + 22 x^{21} + 51 x^{20} - 228 x^{19} - 3 x^{18} + 1321 x^{17} - 2220 x^{16} - 1748 x^{15} + 9722 x^{14} - 7588 x^{13} - 14572 x^{12} + 34524 x^{11} - 16026 x^{10} - 34263 x^{9} + 60097 x^{8} - 26110 x^{7} - 33112 x^{6} + 60245 x^{5} - 45651 x^{4} + 20521 x^{3} - 6288 x^{2} + 1547 x - 241$ $2^{16}\cdot 887^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $33313220.242250312$
24.4.197...064.2 $x^{24} - 11 x^{23} + 53 x^{22} - 131 x^{21} + 131 x^{20} + 144 x^{19} - 585 x^{18} + 471 x^{17} + 846 x^{16} - 3226 x^{15} + 6073 x^{14} - 7616 x^{13} + 4239 x^{12} + 5146 x^{11} - 14303 x^{10} + 15630 x^{9} - 9886 x^{8} + 3829 x^{7} - 1007 x^{6} + 240 x^{5} - 15 x^{4} - 39 x^{3} + 19 x^{2} - 3 x + 1$ $2^{16}\cdot 887^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $33313220.242250312$
24.4.211...249.1 $x^{24} - 3 x^{23} - 3 x^{22} + 18 x^{21} - 37 x^{20} + 44 x^{19} + 73 x^{18} - 240 x^{17} + 313 x^{16} - 153 x^{15} - 408 x^{14} + 568 x^{13} - 1512 x^{12} + 1554 x^{11} - 73 x^{10} + 1003 x^{9} + 1006 x^{8} + 1648 x^{7} - 241 x^{6} + 1001 x^{5} - 19 x^{4} - 137 x^{3} - 67 x^{2} - 18 x - 107$ $2707^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $27806514.152069032$
24.4.211...249.2 $x^{24} - 10 x^{23} + 52 x^{22} - 183 x^{21} + 459 x^{20} - 856 x^{19} + 1126 x^{18} - 995 x^{17} + 472 x^{16} - 431 x^{15} + 1678 x^{14} - 3772 x^{13} + 4355 x^{12} - 2223 x^{11} - 411 x^{10} + 342 x^{9} + 2975 x^{8} - 2082 x^{7} + 1566 x^{6} + 1128 x^{5} + 2004 x^{4} + 1497 x^{3} + 356 x^{2} + 168 x - 47$ $2707^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $27806514.152069032$
24.4.281...336.1 $x^{24} - 6 x^{23} + 15 x^{22} - 33 x^{21} + 87 x^{20} - 191 x^{19} + 333 x^{18} - 468 x^{17} + 630 x^{16} - 936 x^{15} + 852 x^{14} - 8 x^{13} + 1210 x^{12} - 6882 x^{11} + 13931 x^{10} - 30252 x^{9} + 70569 x^{8} - 115803 x^{7} + 136749 x^{6} - 144403 x^{5} + 131712 x^{4} - 64746 x^{3} - 4808 x^{2} + 17655 x - 4925$ $2^{16}\cdot 919^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $36955543.09888827$
24.4.281...336.2 $x^{24} - 9 x^{23} + 36 x^{22} - 87 x^{21} + 177 x^{20} - 489 x^{19} + 1648 x^{18} - 4740 x^{17} + 10557 x^{16} - 18495 x^{15} + 25888 x^{14} - 28388 x^{13} + 22768 x^{12} - 9944 x^{11} - 3388 x^{10} + 11860 x^{9} - 12822 x^{8} + 6887 x^{7} - 1115 x^{6} - 696 x^{5} + 473 x^{4} - 24 x^{3} - 50 x^{2} - 2 x + 1$ $2^{16}\cdot 919^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $36955543.09888827$
24.4.591...625.1 $x^{24} - 3 x^{23} - 3 x^{21} + 6 x^{20} + 117 x^{19} - 91 x^{18} - 165 x^{17} - 516 x^{16} + 192 x^{15} + 1941 x^{14} - 138 x^{13} - 2925 x^{12} - 138 x^{11} + 1941 x^{10} + 192 x^{9} - 516 x^{8} - 165 x^{7} - 91 x^{6} + 117 x^{5} + 6 x^{4} - 3 x^{3} - 3 x + 1$ $3^{26}\cdot 5^{32}$ $\SL(2,5):C_2$ (as 24T576) trivial $900486566.7938616$
24.4.591...625.2 $x^{24} - 9 x^{22} - 7 x^{21} + 12 x^{20} + 75 x^{19} - 5 x^{18} - 15 x^{17} - 195 x^{16} - 25 x^{15} - 195 x^{14} + 915 x^{13} + 910 x^{12} + 495 x^{11} - 975 x^{10} + 566 x^{9} - 870 x^{8} - 2844 x^{7} - 897 x^{6} + 987 x^{5} + 1359 x^{4} - 120 x^{3} - 891 x^{2} + 162 x + 243$ $3^{26}\cdot 5^{32}$ $\SL(2,5):C_2$ (as 24T576) trivial $900486566.7938616$
24.4.113...049.1 $x^{24} - 5 x^{23} + 17 x^{22} - 46 x^{21} + 80 x^{20} - 142 x^{19} + 173 x^{18} - 307 x^{17} + 583 x^{16} - 546 x^{15} + 1413 x^{14} - 902 x^{13} + 3132 x^{12} - 9138 x^{11} + 13422 x^{10} - 20734 x^{9} + 30935 x^{8} - 15535 x^{7} + 9624 x^{6} + 13349 x^{5} - 32888 x^{4} + 10103 x^{3} + 14590 x^{2} + 1495 x + 109$ $3203^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $76756120.9810762$
24.4.113...049.2 $x^{24} - 11 x^{23} + 65 x^{22} - 281 x^{21} + 966 x^{20} - 2583 x^{19} + 5162 x^{18} - 7473 x^{17} + 7327 x^{16} - 3277 x^{15} - 3562 x^{14} + 9181 x^{13} - 9535 x^{12} + 4944 x^{11} - 784 x^{10} + 1617 x^{9} - 5569 x^{8} + 7229 x^{7} - 4872 x^{6} + 1686 x^{5} - 265 x^{4} + 151 x^{3} - 79 x^{2} + 12 x + 9$ $3203^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $76756120.9810762$
24.4.315...049.1 $x^{24} - 8 x^{23} + 21 x^{22} - 47 x^{21} + 51 x^{20} + 19 x^{19} - 188 x^{18} + 177 x^{17} - 144 x^{16} - 417 x^{15} + 357 x^{14} - 645 x^{13} - 661 x^{12} + 993 x^{11} - 935 x^{10} - 814 x^{9} + 2256 x^{8} - 223 x^{7} - 2182 x^{6} + 1787 x^{5} + 3116 x^{4} - 1483 x^{3} - 2726 x^{2} + 463 x + 889$ $3547^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $279052171.88596463$
24.4.315...049.2 $x^{24} - 7 x^{23} + 18 x^{22} - 40 x^{21} + 17 x^{20} + 209 x^{19} - 344 x^{18} + 365 x^{17} + 713 x^{16} - 1613 x^{15} + 1938 x^{14} + 1286 x^{13} - 3185 x^{12} + 4882 x^{11} - 138 x^{10} - 2787 x^{9} + 3743 x^{8} + 1520 x^{7} - 2460 x^{6} + 724 x^{5} + 1071 x^{4} - 1877 x^{3} + 262 x^{2} + 286 x + 53$ $3547^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $279052171.88596463$
24.4.184...249.1 $x^{24} - 36 x^{20} - 113 x^{18} - 528 x^{16} - 1983 x^{14} + 1398 x^{12} + 12690 x^{10} - 3825 x^{8} - 26262 x^{6} + 22599 x^{4} - 7047 x^{2} + 729$ $3^{26}\cdot 31^{16}$ $\SL(2,5):C_2$ (as 24T576) trivial $844563839.3441868$
24.4.184...249.2 $x^{24} - 12 x^{23} + 54 x^{22} - 88 x^{21} - 105 x^{20} + 588 x^{19} - 435 x^{18} - 1557 x^{17} + 3999 x^{16} - 3160 x^{15} - 1161 x^{14} + 3213 x^{13} + 689 x^{12} - 4791 x^{11} + 2256 x^{10} + 2737 x^{9} - 2754 x^{8} - 159 x^{7} + 913 x^{6} - 42 x^{5} - 225 x^{4} - 21 x^{3} + 48 x^{2} + 12 x + 1$ $3^{26}\cdot 31^{16}$ $\SL(2,5):C_2$ (as 24T576) trivial $844563839.3441868$
24.4.246...096.1 $x^{24} - 4 x^{23} + 5 x^{22} - 34 x^{21} + 177 x^{20} - 350 x^{19} + 441 x^{18} - 1172 x^{17} + 2897 x^{16} - 3954 x^{15} + 5560 x^{14} - 11676 x^{13} + 17901 x^{12} - 23518 x^{11} + 41042 x^{10} - 50350 x^{9} + 36683 x^{8} - 55406 x^{7} + 113801 x^{6} - 129172 x^{5} + 74376 x^{4} - 21378 x^{3} + 4010 x^{2} - 672 x + 49$ $2^{16}\cdot 11^{16}\cdot 31^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $631406768.2547228$
24.4.246...096.2 $x^{24} - 7 x^{23} + 16 x^{22} + 31 x^{21} - 273 x^{20} + 683 x^{19} - 618 x^{18} - 904 x^{17} + 3185 x^{16} - 1717 x^{15} - 7848 x^{14} + 19380 x^{13} - 17506 x^{12} - 2422 x^{11} + 23246 x^{10} - 22608 x^{9} + 1240 x^{8} + 12919 x^{7} - 4523 x^{6} - 8498 x^{5} + 7685 x^{4} + 3312 x^{3} - 7632 x^{2} + 2430 x + 567$ $2^{16}\cdot 11^{16}\cdot 31^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $631406768.2547228$
24.4.502...649.1 $x^{24} + 6 x^{22} - 15 x^{21} + 3 x^{20} - 45 x^{19} + 35 x^{18} + 360 x^{17} + 720 x^{16} + 2686 x^{15} + 1638 x^{14} + 3651 x^{13} + 6570 x^{12} - 9888 x^{11} - 12501 x^{10} - 19693 x^{9} - 35505 x^{8} - 2232 x^{7} + 10821 x^{6} + 19863 x^{5} + 42228 x^{4} + 18609 x^{3} + 8829 x^{2} + 9072 x - 909$ $3^{42}\cdot 11^{16}$ $\SL(2,5):C_2$ (as 24T576) trivial $7492161098.326287$
24.4.502...649.2 $x^{24} - 27 x^{21} - 33 x^{20} + 126 x^{19} + 3 x^{18} - 288 x^{17} + 294 x^{16} + 363 x^{15} - 855 x^{14} - 180 x^{13} + 1165 x^{12} - 180 x^{11} - 855 x^{10} + 363 x^{9} + 294 x^{8} - 288 x^{7} + 3 x^{6} + 126 x^{5} - 33 x^{4} - 27 x^{3} + 1$ $3^{42}\cdot 11^{16}$ $\SL(2,5):C_2$ (as 24T576) trivial $2335904390.6875935$
24.4.502...649.3 $x^{24} - 3 x^{23} - 15 x^{22} + 59 x^{21} + 48 x^{20} - 405 x^{19} + 291 x^{18} + 1104 x^{17} - 2463 x^{16} + 590 x^{15} + 4017 x^{14} - 7260 x^{13} + 7430 x^{12} - 1095 x^{11} - 2571 x^{10} - 2083 x^{9} + 3207 x^{8} - 5169 x^{7} + 2388 x^{6} + 5517 x^{5} + 2928 x^{4} + 1439 x^{3} + 165 x^{2} - 30 x + 1$ $3^{42}\cdot 11^{16}$ $\SL(2,5):C_2$ (as 24T576) trivial $2335904390.6875935$
24.4.502...649.4 $x^{24} - 6 x^{22} - 9 x^{21} + 6 x^{20} + 135 x^{19} + 13 x^{18} - 477 x^{17} + 609 x^{16} + 2010 x^{15} + 1749 x^{14} + 576 x^{13} - 4943 x^{12} - 4347 x^{11} - 1206 x^{10} - 5082 x^{9} + 4320 x^{8} + 9837 x^{7} + 4962 x^{6} - 22086 x^{5} - 66987 x^{4} - 86292 x^{3} - 68040 x^{2} - 30456 x - 5616$ $3^{42}\cdot 11^{16}$ $\SL(2,5):C_2$ (as 24T576) trivial $7492161098.326287$
24.4.655...000.1 $x^{24} - 8 x^{22} + 26 x^{20} - 80 x^{18} - 15 x^{16} + 40 x^{14} - 890 x^{12} + 2200 x^{10} - 12550 x^{8} + 9640 x^{6} + 3704 x^{4} - 5472 x^{2} + 169$ $2^{48}\cdot 5^{32}$ $\SL(2,5):C_2$ (as 24T576) trivial $5548550807.18335$
24.4.655...000.2 $x^{24} + 8 x^{22} + 26 x^{20} + 80 x^{18} - 15 x^{16} - 40 x^{14} - 890 x^{12} - 2200 x^{10} - 12550 x^{8} - 9640 x^{6} + 3704 x^{4} + 5472 x^{2} + 169$ $2^{48}\cdot 5^{32}$ $\SL(2,5):C_2$ (as 24T576) trivial $5548550807.18335$
24.4.134...184.1 $x^{24} - 8 x^{23} + 36 x^{22} - 115 x^{21} + 288 x^{20} - 532 x^{19} + 343 x^{18} + 2063 x^{17} - 10093 x^{16} + 25613 x^{15} - 38206 x^{14} + 8920 x^{13} + 129892 x^{12} - 414583 x^{11} + 719932 x^{10} - 662908 x^{9} - 143909 x^{8} + 1436803 x^{7} - 2318490 x^{6} + 2344479 x^{5} - 1851264 x^{4} + 1196387 x^{3} - 570559 x^{2} + 168553 x - 22627$ $2^{16}\cdot 7^{10}\cdot 31^{16}$ $\SL(2,5):C_2$ (as 24T576) trivial $1663815036.4219863$
24.4.134...184.2 $x^{24} - 5 x^{23} - x^{22} + 52 x^{21} - 287 x^{20} + 1002 x^{19} - 2596 x^{18} + 5545 x^{17} - 10054 x^{16} + 15381 x^{15} - 20545 x^{14} + 23531 x^{13} - 23177 x^{12} + 19813 x^{11} - 14595 x^{10} + 9847 x^{9} - 6886 x^{8} + 5381 x^{7} - 4468 x^{6} + 3288 x^{5} - 1789 x^{4} + 612 x^{3} - 103 x^{2} + 3 x + 1$ $2^{16}\cdot 7^{10}\cdot 31^{16}$ $\SL(2,5):C_2$ (as 24T576) $[5]$ $332763007.28439724$
24.4.123...761.1 $x^{24} - 7 x^{23} + 10 x^{22} + 43 x^{21} - 151 x^{20} + 22 x^{19} + 624 x^{18} - 1342 x^{17} - 448 x^{16} + 7248 x^{15} - 5669 x^{14} - 16621 x^{13} + 14326 x^{12} + 6670 x^{11} - 27264 x^{10} + 47440 x^{9} + 12058 x^{8} - 7917 x^{7} + 99548 x^{6} + 167364 x^{5} + 129670 x^{4} + 82624 x^{3} + 40035 x^{2} + 6616 x - 3433$ $11^{16}\cdot 139^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $11895702368.488781$
24.4.123...761.2 $x^{24} - 9 x^{23} + 31 x^{22} - 68 x^{21} + 140 x^{20} - 330 x^{19} + 765 x^{18} - 1034 x^{17} - 241 x^{16} + 3230 x^{15} - 169 x^{14} - 19402 x^{13} + 37368 x^{12} - 17954 x^{11} - 43516 x^{10} + 85813 x^{9} - 59453 x^{8} - 5508 x^{7} + 106135 x^{6} - 58116 x^{5} - 2244 x^{4} - 88115 x^{3} + 110218 x^{2} - 43890 x + 5929$ $11^{16}\cdot 139^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $11895702368.488781$
24.4.158...504.1 $x^{24} + 6 x^{22} - 18 x^{21} - 70 x^{20} + 214 x^{19} - 89 x^{18} - 840 x^{17} + 1089 x^{16} + 148 x^{15} - 1584 x^{14} - 988 x^{13} - 4297 x^{12} + 7032 x^{11} + 1372 x^{10} - 5442 x^{9} + 2601 x^{8} - 706 x^{7} - 1813 x^{6} + 902 x^{5} + 1223 x^{4} - 1174 x^{3} + 387 x^{2} - 56 x + 3$ $2^{16}\cdot 11^{16}\cdot 47^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $15667545737.170086$
24.4.158...504.2 $x^{24} - 11 x^{23} + 57 x^{22} - 163 x^{21} + 248 x^{20} - 9 x^{19} - 708 x^{18} + 1391 x^{17} - 1667 x^{16} + 4888 x^{15} - 6712 x^{14} - 5441 x^{13} + 25644 x^{12} - 33880 x^{11} + 18214 x^{10} + 11961 x^{9} - 48439 x^{8} + 70275 x^{7} - 46533 x^{6} + 340 x^{5} + 22908 x^{4} - 26007 x^{3} + 21610 x^{2} - 10992 x + 2241$ $2^{16}\cdot 11^{16}\cdot 47^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $15667545737.170086$
24.4.204...536.1 $x^{24} + 14 x^{22} - 16 x^{21} + 96 x^{20} - 184 x^{19} + 434 x^{18} - 912 x^{17} + 1217 x^{16} - 2264 x^{15} - 320 x^{14} - 2080 x^{13} - 6096 x^{12} - 1352 x^{11} - 10232 x^{10} - 5448 x^{9} - 9665 x^{8} + 4712 x^{7} + 5962 x^{6} + 5088 x^{5} - 1024 x^{4} - 2848 x^{3} - 1026 x^{2} - 584 x - 121$ $2^{48}\cdot 31^{16}$ $\SL(2,5):C_2$ (as 24T576) trivial $6913285449.388775$
24.4.204...536.2 $x^{24} - 10 x^{22} - 16 x^{21} + 6 x^{20} + 160 x^{19} + 238 x^{18} - 192 x^{17} - 1064 x^{16} - 1656 x^{15} - 4 x^{14} + 6140 x^{13} + 6868 x^{12} - 4916 x^{11} - 13492 x^{10} - 4576 x^{9} + 16707 x^{8} - 2944 x^{7} - 20680 x^{6} + 21984 x^{5} + 12740 x^{4} - 19724 x^{3} - 3286 x^{2} + 8804 x + 2843$ $2^{48}\cdot 31^{16}$ $\SL(2,5):C_2$ (as 24T576) trivial $6913285449.388775$
24.4.347...129.1 $x^{24} - 9 x^{23} + 33 x^{22} - 96 x^{21} + 342 x^{20} - 1014 x^{19} + 2202 x^{18} - 4551 x^{17} + 10572 x^{16} - 18976 x^{15} + 21732 x^{14} - 23808 x^{13} + 26898 x^{12} + 23190 x^{11} - 148869 x^{10} + 217907 x^{9} - 140142 x^{8} - 146220 x^{7} + 296370 x^{6} + 306120 x^{5} - 437403 x^{4} - 284979 x^{3} + 124869 x^{2} + 161907 x + 5887$ $3^{26}\cdot 43^{16}$ $\SL(2,5):C_2$ (as 24T576) $[3]$ $5228000645.551785$
24.4.347...129.2 $x^{24} - 6 x^{23} + 74 x^{21} - 93 x^{20} - 168 x^{19} + 609 x^{18} - 1086 x^{17} - 282 x^{16} + 3213 x^{15} - 3477 x^{14} + 5193 x^{13} - 3163 x^{12} - 10377 x^{11} + 16671 x^{10} - 28410 x^{9} + 39942 x^{8} - 20970 x^{7} + 19284 x^{6} - 11349 x^{5} - 9018 x^{4} - 1143 x^{3} + 9 x^{2} - 540 x - 801$ $3^{26}\cdot 43^{16}$ $\SL(2,5):C_2$ (as 24T576) $[3]$ $5228000645.551785$
24.4.390...441.1 $x^{24} - 5 x^{23} + 6 x^{22} + 36 x^{21} - 167 x^{20} + 510 x^{19} - 97 x^{18} - 2439 x^{17} + 6788 x^{16} - 7562 x^{15} - 6950 x^{14} + 7342 x^{13} + 17301 x^{12} - 38252 x^{11} + 8056 x^{10} + 16831 x^{9} + 19619 x^{8} - 33850 x^{7} + 10621 x^{6} + 3782 x^{5} - 2226 x^{4} + 253 x^{3} - 48 x^{2} + 12 x + 1$ $19^{10}\cdot 41^{16}$ $\SL(2,5):C_2$ (as 24T576) $[2]$ $3269593940.080608$
24.4.390...441.2 $x^{24} - 6 x^{23} + 28 x^{22} - 94 x^{21} + 274 x^{20} - 812 x^{19} + 1989 x^{18} - 5187 x^{17} + 12936 x^{16} - 24048 x^{15} + 33902 x^{14} - 31730 x^{13} - 1891 x^{12} + 74628 x^{11} - 136999 x^{10} + 138304 x^{9} - 79693 x^{8} + 2337 x^{7} + 119130 x^{6} - 265546 x^{5} + 332848 x^{4} - 292179 x^{3} + 202392 x^{2} - 104380 x + 26489$ $19^{10}\cdot 41^{16}$ $\SL(2,5):C_2$ (as 24T576) $[2]$ $3269593940.080608$
24.4.419...000.1 $x^{24} + 8 x^{22} + 20 x^{20} - 40 x^{18} - 330 x^{16} - 280 x^{14} + 1630 x^{12} + 1600 x^{10} - 9935 x^{8} - 11080 x^{6} + 11246 x^{4} - 11232 x^{2} + 3025$ $2^{54}\cdot 5^{32}$ $\SL(2,5):C_2$ (as 24T576) trivial $7697786397.453289$
24.4.419...000.2 $x^{24} - 8 x^{22} + 20 x^{20} + 40 x^{18} - 330 x^{16} + 280 x^{14} + 1630 x^{12} - 1600 x^{10} - 9935 x^{8} + 11080 x^{6} + 11246 x^{4} + 11232 x^{2} + 3025$ $2^{54}\cdot 5^{32}$ $\SL(2,5):C_2$ (as 24T576) trivial $7697786397.453289$
24.4.118...424.1 $x^{24} - 6 x^{23} + 22 x^{22} - 82 x^{21} + 163 x^{20} - 384 x^{19} + 355 x^{18} - 297 x^{17} - 914 x^{16} + 2618 x^{15} - 3994 x^{14} + 4616 x^{13} + 2492 x^{12} - 9030 x^{11} + 15754 x^{10} - 18079 x^{9} - 16237 x^{8} - 968 x^{7} - 89784 x^{6} - 11813 x^{5} - 17513 x^{4} - 109039 x^{3} + 2268 x^{2} - 9261 x - 36701$ $2^{16}\cdot 7^{10}\cdot 41^{16}$ $\SL(2,5):C_2$ (as 24T576) trivial $65818758056.6203$
24.4.118...424.2 $x^{24} - 7 x^{23} + 37 x^{22} - 170 x^{21} + 511 x^{20} - 1184 x^{19} + 2464 x^{18} - 2513 x^{17} - 5668 x^{16} + 24161 x^{15} - 41531 x^{14} + 49193 x^{13} - 45683 x^{12} + 17619 x^{11} + 38063 x^{10} - 86025 x^{9} + 97062 x^{8} - 80687 x^{7} + 54150 x^{6} - 27748 x^{5} + 10247 x^{4} - 2814 x^{3} + 595 x^{2} - 103 x + 23$ $2^{16}\cdot 7^{10}\cdot 41^{16}$ $\SL(2,5):C_2$ (as 24T576) trivial $65818758056.6203$
24.4.155...361.1 $x^{24} - x^{23} + 25 x^{22} + 7 x^{21} + 254 x^{20} + 424 x^{19} + 1120 x^{18} + 3407 x^{17} + 226 x^{16} + 7226 x^{15} - 11825 x^{14} - 11077 x^{13} - 5505 x^{12} - 38732 x^{11} + 49355 x^{10} + 24427 x^{9} - 18155 x^{8} + 179261 x^{7} - 271751 x^{6} + 188770 x^{5} - 300847 x^{4} + 43873 x^{3} - 88240 x^{2} - 11813 x - 205$ $11^{16}\cdot 179^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $30278487660.983883$
24.4.155...361.2 $x^{24} - 9 x^{23} + 21 x^{22} + 66 x^{21} - 446 x^{20} + 593 x^{19} + 1808 x^{18} - 7889 x^{17} + 7625 x^{16} + 23524 x^{15} - 82234 x^{14} + 65020 x^{13} + 153487 x^{12} - 447268 x^{11} + 378544 x^{10} + 337980 x^{9} - 1223752 x^{8} + 1279336 x^{7} - 199638 x^{6} - 1136515 x^{5} + 1665262 x^{4} - 1271817 x^{3} + 598982 x^{2} - 167801 x + 21745$ $11^{16}\cdot 179^{10}$ $\SL(2,5):C_2$ (as 24T576) trivial $30278487660.983883$
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